Stability of linear dynamic equations on time scales
Sung Kyu Choi - Department of Mathematics, Chungnam National University, Daejeon 305-764, North Korea (email)
Abstract: In this paper we define $u_\infty$-quasisimilarity in order to unify $t_\infty$-quasisimilarity and $n_\infty$-quasisimilarity and then study the stability for solutions of linear dynamic equations on time scales by using the concept of $u_\infty$-quasisimilarity and dynamic inequality.
Keywords: Linear dynamic equations, time scales, $h$-stability, strong stability, $u_\infty$-quasisimilarity, Gronwall's inequality
Received: July 2008; Revised: June 2009; Published: September 2009.